# Category:Definitions/Automorphism Groups

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This category contains definitions related to Automorphism Groups.

Related results can be found in Category:Automorphism Groups.

Let $\struct {S, *}$ be an algebraic structure.

Let $\mathbb S$ be the set of automorphisms of $S$.

Then the algebraic structure $\struct {\mathbb S, \circ}$, where $\circ$ denotes composition of mappings, is called the **automorphism group** of $S$.

The structure $\struct {S, *}$ is usually a group. However, this is not necessary for this definition to be valid.

## Pages in category "Definitions/Automorphism Groups"

The following 5 pages are in this category, out of 5 total.